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Research Papers: Contact Mechanics

Elastic-Plastic Microcontact Model for Elliptical Contact Areas and Its Application to a Treillis Point in Overhead Electrical Conductors

[+] Author and Article Information
Frédéric Lévesque1

Department of Mechanical Engineering, Université Laval, Québec, QC G1K 7P4, Canada

Sylvain Goudreau

Department of Mechanical Engineering, Université Laval, Québec, QC G1K 7P4, Canadasylvain.goudreau@gmc.ulaval.ca

Louis Cloutier

Department of Mechanical Engineering, Université Laval, Québec, QC G1K 7P4, Canada

1

Present address: Department of Civil Engineering, Université de Sherbrooke, Sherbrooke, QC J1K 2R1, Canada.

J. Tribol 133(1), 011401 (Jan 04, 2011) (9 pages) doi:10.1115/1.4002953 History: Received June 10, 2009; Revised September 23, 2010; Published January 04, 2011; Online January 04, 2011

Aeolian vibrations represent a threat to the integrity of electrical transmission lines. The fretting fatigue of conductors is thus a major concern. The modelization of the contact conditions at critical points is an important tool in assessing the life of conductors. Treillis points around the last point of contact between the conductor and the pieces of equipment are such critical points. We observe a fully plastic contact condition at these points. Finite element results for the contact between an ellipsoid and a rigid plane and between two wires at different angles are compared with an elastic-plastic microcontact model for elliptical contact areas. These numerical results are then compared with experimental ones for the contact between two wires of a conductor (ACSR Bersfort), showing a very similar relationship between the contact force and the observed contact area. We have a good correlation between the microcontact model and the finite elements ones in the fully plastic contact regime on both the contact area and the contact force for a given interference between bodies. The use of the elastic-plastic microcontact model for elliptical contacts presented in this paper proves to be a strong tool in getting a better understanding of the mechanical behavior at those critical points.

Copyright © 2011 by American Society of Mechanical Engineers
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References

Figures

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Figure 1

Geometrical global model of the contact between an ellipsoid and a rigid flat with the submodel shown in dark: rk=2

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Figure 2

Finite element results compared with the elastic solution along the z axis for the contact of a sphere on a rigid plane

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Figure 3

Finite elements and experimental results (8) for the contact of a sphere on a rigid plane

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Figure 4

Geometrical global model of the contact between two wires: α=60 deg

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Figure 5

Geometrical submodel of the contact between two wires: α=60 deg

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Figure 6

Evolution of the elastic mean contact pressure with increasing interference: ellipsoid on rigid plane

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Figure 7

Evolution of the elastic contact force with increasing interference: ellipsoid on rigid plane

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Figure 8

Evolution of the elastic contact area with increasing interference: ellipsoid on rigid plane

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Figure 9

Evolution of the elastic mean contact pressure with increasing interference: two wires

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Figure 10

Evolution of the elastic contact force with increasing interference: two wires

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Figure 11

Evolution of the elastic contact area with increasing interference: two wires

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Figure 12

Evolution of the mean contact pressure pm with increasing normalized interference ω/ωc: ellipsoid on rigid plane

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Figure 13

Evolution of the area of contact A¯ with increasing interference: ellipsoid on rigid plane

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Figure 14

Evolution of the contact force P with increasing interference: ellipsoid on rigid plane

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Figure 15

Evolution of the mean contact pressure pm with increasing normalized interference ω/ωc: two wires

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Figure 16

Evolution of the area of contact A¯ with increasing interference: two wires

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Figure 17

Evolution of the contact force P with increasing interference: two wires

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Figure 18

Evolution of the area of contact A¯ with increasing contact force P: ellipsoid on rigid plane

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Figure 19

Evolution of the area of contact A¯ with increasing contact force P: two wires

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